Prime factorization of $$$4244$$$

Find the prime factorization of $$$4244$$$.

Start with the number $$$2$$$.

Determine whether $$$4244$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4244$$$ by $$${\color{green}2}$$$: $$$\frac{4244}{2} = {\color{red}2122}$$$.

Determine whether $$$2122$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2122$$$ by $$${\color{green}2}$$$: $$$\frac{2122}{2} = {\color{red}1061}$$$.

The prime number $$${\color{green}1061}$$$ has no other factors then $$$1$$$ and $$${\color{green}1061}$$$: $$$\frac{1061}{1061} = {\color{red}1}$$$.

Since we have obtained $$$1$$$, we are done.

Now, just count the number of occurences of the divisors (green numbers), and write down the prime factorization: $$$4244 = 2^{2} \cdot 1061$$$.

The prime factorization is $$$4244 = 2^{2} \cdot 1061$$$A.